This massive two-volume reference presents a comprehensive selection of the most important works on the foundations of mathematics. While the volumes include important forerunners like Berkeley, MacLaurin, and D'Alembert, as well as such followers as Hilbert and Bourbaki, their emphasis is on the mathematical and philosophical developments of the nineteenth century. Besides reproducing reliable English translations of classics works by Bolzano, Riemann, Hamilton, Dedekind, and Poincare, William Ewald also includes selections from Gauss, Cantor, Kronecker, and Zermelo, all translated here (...) for the first time. (shrink)
What relevance does Foucault have, more than a decade after his death? Foucault was a sort of philosophical journalist - continually concerned with what is happening in the present. And it is here that we find one of the guiding threads of Foucault's ethics: we must be constantly vigilant in ensuring that the present does not become a mere repetition of the past. Philosophy must produce events that can act to disrupt this repetition. This is the task of judgment, (...) confronted by the question of power. We can recognize four points on which Foucault has continuing relevance. First, Foucault diagnosed the end of revolution, the consequences of which we are now living. Further, Foucault's work on truth-telling and norms and measures, the heart of the question of justice, is still significant. Foucault's work on medicine, and in particular ancient Greek medicine, will also play a critical role if we are to successfully navigate the myriad problems posed by a new form of medicine, genetic medicine - a medicine of predispositions rather than therapy, similar to the medicine practiced by the Greeks. Fourth and finally, Foucault has a continuing relevance for problems of decision-making, responsibility and care. We can think about responsibility, for Foucault, through the question of care - and thus will avoid reducing responsibility to a merely juridical notion. Key Words: care • Foucault • medicine • norms • present • repetition • responsibility • revolution. (shrink)
Immanuel Kant's Critique of Pure Reason is widely taken to be the starting point of the modern period of mathematics while David Hilbert was the last great mainstream mathematician to pursue important nineteenth cnetury ideas. This two-volume work provides an overview of this important era of mathematical research through a carefully chosen selection of articles. They provide an insight into the foundations of each of the main branches of mathematics--algebra, geometry, number theory, analysis, logic and set theory--with narratives to show (...) how they are linked. -/- Classic works by Bolzano, Riemann, Hamilton, Dedekind, and Poincare are reproduced in reliable translations and many selections from writers such as Gauss, Cantor, Kronecker and Zermelo are here translated for the first time. The collection is an invaluable source for anyone wishing to gain an understanding of the foundation of modern mathematics. (shrink)
Immanuel Kant's Critique of Pure Reason is widely taken to be the starting point of the modern period of mathematics while David Hilbert was the last great mainstream mathematician to pursue important nineteenth cnetury ideas. This two-volume work provides an overview of this important era of mathematical research through a carefully chosen selection of articles. They provide an insight into the foundations of each of the main branches of mathematics--algebra, geometry, number theory, analysis, logic and set theory--with narratives to show (...) how they are linked. -/- Classic works by Bolzano, Riemann, Hamilton, Dedekind, and Poincare are reproduced in reliable translations and many selections from writers such as Gauss, Cantor, Kronecker and Zermelo are here translated for the first time. The collection is an invaluable source for anyone wishing to gain an understanding of the foundation of modern mathematics. (shrink)
Dieser Beitrag diskutiert Oskar Morgensterns These von der Unmöglichkeit von Wirtschaftsprognose. Nach einer kritischen Rekonstruktion Morgensterns Argumente wird diese These in ihrer starken, apriorischen Lesart zurückgewiesen. Demgegenüber gestatten es die Ergebnisse empirischer Prognoseevaluationen, Morgensterns Überlegungen als kontingente Erklärungen des Scheiterns makroökonomischer Vorhersagen umzuinterpretieren. Der Beitrag schließt deshalb mit einer provokanten Konklusion, die bereits Morgenstern zog: der Forderung, Versuche makroökonomischer Vorhersage einzustellen.
Oberman, H. A. Quoscunque tulit foecunda vetustas.--Bouwsma, W. J. The two faces of humanism.--Gilmore, M. P. Italian reactions to Erasmian humanism.--Dresden, S. The profile of the reception of the Italian Renaissance in France.--IJsewijn, J. The coming of humanism to the Low Countries.--Hay, D. England and the humanities in the fifteenth century.--Spitz, L. W. The course of German humanism.
Ewald Hering's color-opponent-theory is still considered one of the foundations of the visual sciences. Prior to Hering, Hermann v. Helmholtz introduced a theory of color appearance, which was based primarily on the physical aspects of the stimulus. In contrast to Helmholtz, Hering's theory strongly emphasized the subject's perception of color. As a consequence, Hering considered Helmholtz' theory inadequate. Contrary to some historical accounts, he did not object to Helmholtz's three-receptor explanation for color-mixture. Instead of Helmholtz' fundamental colors red, green, (...) and blue, Hering suggested that the colors possess opponent character: blue-yellow; red-green; and, black-white. Helmholtz, on the other hand, refused to accept Hering's theory. Finally, a student with Helmholtz, Johannes v. Kries, developed the so-called zone-theory , which combines both, Young-Helmholtz's and Hering's theory at different stages of the visual information processing system. (shrink)
Recently discovered correspondence from Oskar Becker to Hermann Weyl sheds new light on Weyl's engagement with Husserlian transcendental phenomenology in 1918-1927. Here the last two of these letters, dated July and August, 1926, dealing with issues in the philosophy of mathematics are presented, together with background and a detailed commentary. The letters provide an instructive context for re-assessing the connection between intuitionism and phenomenology in Weyl's foundational thought, and for understanding Weyl's term ‘symbolic construction’ as marking his own considered (...) position in the foundational controversy of the 1920s. In addition, they reveal Weyl's hitherto unknown objections to Becker's detailed attempt (Mathematische Existenz, 1927) to ground the transfinite phenomenologically. (shrink)
A neighbor who strikes it rich evokes both admiration and envy, and a similar mix of emotions must be aroused in many neighborhoods of cognitive science when the residents look at the results of research in color perception. It provides what is probably the most widely acknowledged success story of any domain of scientific psychology: the success, against all expectation, of the opponent process theory of color perception. Initially proposed by a Ewald Hering, a nineteenth century physiologist, it drew (...) its inspiration from the existence of opposing muscle groups. Hering thought that analogous opposing processes could explain some aspects of color perception, but the resulting theory was more complicated and less intuitive than that proposed by the great Hermann von Helmholtz. Helmholtz carried his day, but in the long run Hering turned out to be right. (shrink)
In recent years, an increasing number of medical books and papers attempting to analyse the concepts of health and disease from the perspective of evolutionary biology have been published (Eaton etal., 1993; Ewald, 1993; Harrison, 1993; Nesse and Williams, 1995; Profet, 1991; Rose, 1991; Temple and Burkitt, 1994). This paper introduces the evolutionary approach to health and disease in an attempt to illuminate the premisses and the framework of Darwinian medicine. My primary aim is to analyse to what extent (...) evolutionary theory provides for a biological definition of the concept of disease. This analysis reveals some important differences between functional explanations in the field of evolutionary biology and functional explanations in the field of medicine. Moreover, I shall argue that the biological functions relevant to the health of an organism cannot be determined on the basis of evolutionary theory. Accordingly, it seems that Darwinian medicine does not provide for the definition of a biological concept of disease. Still,Darwinian medicine may suggest why we are susceptible to certain diseases; it might also prove a suggestive heuristic on the basis of which new hypotheses concerning relevant treatments of various diseases might be advanced. (shrink)
I examine the relation between explanation and unification in both the original Kaluza–Klein theory, which originated in the works of Theodor Kaluza and Oskar Klein in the 1920s, and in the modern Kaluza–Klein theories which date back to the late 1970s and which are still considered by the majority of the physics community to be the best hope for a complete unified theory of all fundamental interactions. I use the conclusions of this case study to assess the merits of (...) Philip Kitcher's account of explanation as unification. I also draw lessons about physicists’ pursuit of the higher dimensional unification of the fundamental forces of nature. (shrink)
Department of Geography and Planning, University of Amsterdam, The Netherlands There is a growing sense of dissatisfaction among political philosophers with the practical sterility and empirical inadequacy of the discipline. Post-Rawlsian philosophy is wrestling with the need to construct a ‘contextualized morality’ that is sensitive to the particularities and complexities of actual moral reasoning but does not succumb to the temptations of relativism. We argue that this predicament is due to its inability to take the pluralism of our moral universe, (...) the multi-layeredness of our social reality, the indeterminacy of our normative principles and the complexity of our practical reasoning seriously. To incorporate these properties of the ‘human condition’ we have constructed a complex evaluative framework, balancing moral, ethico-political, prudential and realist criteria. We argue that political philosophy new style is well advised to adopt such a framework and to position itself, as a true ‘art’, between political philosophy old style and the social sciences. Thus political philosophy is better equipped to deal with the big tradeoffs of today, rekindle our utopian hopes and regain political bite. Key Words: comparative institutionalism • evaluation studies • political philosophy • political theory. (shrink)
Brent Kious has recently attacked several arguments generally adduced to support anti-doping in sports, which are widely supported by the sports medicine fraternity, international sports federations, and international governments. We show that his attack does not succeed for a variety of reasons. First, it uses an overly inclusive definition of doping at odds with the WADA definition, which has global, if somewhat contentious, currency. Second, it seriously misconstrues the position it attacks, rendering the attack without force against a more balanced (...) construal of an anti-doping position. Third, it makes unwarranted appeals to matters Kious considers morally ‘clear’, while simultaneously attacking a position many others take to be equally morally ‘clear’, namely that of anti-doping. Such an inconsistency, attacking and appealing to the moral status quo as befits one’s argument, is not acceptable without further qualification. Fourth, his position suffers from a general methodological flaw of over-reliance upon argumentation by analogy. Moreover, it is argued that the analogies, being poorly selected and developed, fail to justify his conclusion that the anti-doping lobby lacks philosophical and moral authority for its stance. These issues are symptomatic of a more fundamental problem: any attempt at providing a blanket solution to the question of whether doping is morally acceptable or not is bound to run up against problems when applied to highly specific contexts. Thus, rather than reaching any particular conclusion for or against doping products or processes in this article, we conclude that an increased context-sensitivity will result in a more evenhanded appraisal of arguments on the matter. (shrink)
This thesis examines some of the contested meanings of what it is to be a self, person and individual. The law of obligations sets the context for this examination. One of the important aspects of contemporary feminist philosophy has been its move beyond highlighting inconsistencies in political and legal theory, in which theoretical frameworks can be shown to rely upon an ambiguous treatment of women. The feminist theorists whose work is considered use these theoretical weaknesses as a point of departure (...) to propose different conceptual frameworks. I start by analysing contemporary work on the self from within both philosophy of science and feminist metaphysics to draw out common approaches from these diverse positions. These themes are then discussed in the context of the law. I then critically examine the concept of legal personhood in the work of Drucilla Cornell and her proposals for the amendment of tort law. This is juxtaposed with an analysis of the practical operation of tort law by adapting François Ewald's work on risk and insurance to English law. I concentrate on women's ambiguous position with regard to both risk and to the image of the individual that is the subject of Ewald's critique. This is followed by an examination of the changing position of women with regard to 'possessive individualism', 'self-ownership' or 'property in the person' in relation to contract law and social contract theory. There are a number of different social contracts discussed in the thesis: Cornell's reworking of John Rawls and the stories of Thomas Hobbes and of Carole Pateman. The final 'social contract' to be discussed is that of 'new contractualism', the employment of contract as a technique of government. I argue that Pateman's critique of possessive individualism continues to be relevant at a time when the breadwinner/housewife model has broken down. (shrink)
